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A metal has Young's modulus Y = 15 x 10¹¹ Pa and Poisson's ratio 0.4. Find its bulk modulus (in Pa).

1. 25 x 10¹¹
2. 2.5 x 10¹¹
3. 250 x 10¹¹
4. 0.25 x 10¹¹

Correct answer: 25 x 10¹¹

Solution

K = Y/(3(1-2*sigma)) = 15e11 / (3*0.2) = 15e11/0.6 = 25 x 10¹¹ Pa.

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